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| 1 | A LAGRANGIAN RELAXATION APPROACH FOR SUPPLY CHAIN PLANNING WITH ORDER/SETUP COSTS AND CAPACITY CONSTRAINTS显示文摘A heuristic approach is developed for supply chain planning modeled as multi-item multi-levelcapacitated lot sizing problems. The heuristic combines Lagrangian relaxation (LR) with local search.Different from existing LR approaches that relax capacity constraints and/or inventory balanceconstraints, our approach only relaxes the technical constraints that each 0-1 setup variable must takevalue 1 if its corresponding continuous variable is positive. The relaxed problem is approximatelysolved by using the simplex algorithm for linear programming, while Lagrange multipliers are updatedby using a surrogate subgradient method that ensures the convergence of the dual problem in case ofthe approximate resolution of the relaxed problem. At each iteration, a feasible solution of the originalproblem is constructed from the solution of the relaxed problem. The feasible solution is furtherimproved by a local search that changes the values of two setup variables at each time. By taking theadvantages of a special structure of the lot-sizing problem, the local search can be implemented byusing a modified simplex algorithm, which significantly reduces its computation time. Numericalexperiments show that our approach can find very good solutions for problems of realistic sizes in ashort computation time and is more effective than an existing commercial optimization code. | Haoxun CHEN Chengbin CHUIndustrial System Optimization Laboratory Technology University of Troyes, France | 2003 | Systems Science and Systems Engineering2003，12，1： | 2 |
| 2 | A Stackelberg game and its improvement in a VMI system with a manufacturing vendor显示文摘 | Yugang Yu Feng Chu Haoxun Chen | 2007 | European Journal of Operational Research2007，，3： | 2 |
| 3 | Cyclic scheduling of a hoist with time window constraints显示文摘 | CHEN Haoxun CHU Chengbin PROTH J M | 1998 | IEEE Transactions on Robotics and Automation1998，14，1： | 1 |
| 4 | An improvement of Lagrangean relaxation approach for job shop scheduling: a dynamic programming method 显示文摘 | CHEN Haoxun CHU Chengbin Proth J M | 1998 | IEEE Trans on Robotics and Automation1998，14，5： | 1 |
| 5 | Control synthesis of Petri nets based on Sdecrease显示文摘 | CHEN Haoxun | 2000 | Discrete Event Dynamic Systems: Theory and Application2000，10，3： | 1 |
| 6 | An improvement of the Lagrangean relaxation approach for job shop scheduling:a dynamic programming method显示文摘 | Chen Haoxun Chu Chengbin Proth J M | | 0，，05： | 1 |
| 7 | Modeling and performance evaluation of supply chains using batch deter- ministic and stochastic Petri nets显示文摘 | CHEN Haoxun AMODEO L CHU Feng | 2005 | IEEE Transactions on Automation and Engineering2005，2，2： | 1 |
| 8 | Development of Triticum aestivume——Leymus mollis Translocation Lines and Identification of Resistance to Stripe Rust显示文摘Wheat stripe rust,caused by Puccinia striiformis f.sp.tritici,is one of the most widely distributed and destructive fungal diseases worldwide.Since 1995,most Chinese wheat cultivars have lost their stripe rust resistance due to the subsequent emergence of the new races CYR30,CYR31,CYR32,and CYR33(Han et al.,2010).Therefore,it is necessary to seek effective resistance genes and develop new resistance germplasm for wheat resistance breeding. | Haoxun Li Renchun Fan Shulan Fu Bo Wei Shichang Xu Jing Feng Qi Zheng Xianping Wang Fangpu Han Xiangqi Zhang | 2015 | Journal of Genetics and Genomics2015，42，3： | 1 |
| 9 | Net structure and control logic synthesis of controlled petri nets显示文摘 | Chen Haoxun | 1998 | IEEE Trans on Automatic Control1998，43，10： | 1 |
| 10 | A stackelberg game and its improvement in a VMI system with a manufacturing vendor 显示文摘 | Yu Yugang Chu Feng Chen Haoxun | 2009 | European Journal of Operational Research2009，192，3： | 1 |
| 11 | Control Synthesis of Petri Nets Based on S-Decreases 显示文摘 | | 2000 | Discrete Event Dynamic Systems: Theorey and Applications 10 233-2492000，，： | 1 |
| 12 | A stackelberg game and its improvement in a VMI system with a man- ufacturing vendor显示文摘 | Yu Yugang Chu Feng Chen Haoxun | 2009 | European Journal of Operational Research2009，192，3： | 1 |
| 13 | Performance evaluation of distribution strategies for the inventory routing problem 显示文摘 | Li Jianxiang Chen Haoxun Chu Feng | 2010 | European Journal of Operational Research2010，202，2： | 1 |
| 14 | A Stackelberg game and its improvementin a VMI system with a manufacturing vendor显示文摘 | Yugang Y U Feng Chu Haoxun Chen | | 0，，03： | 1 |
| 15 | Net structure and control logic synthesis of controlled Petri nets 显示文摘 | CHEN Haoxun | 1998 | IEEE Trans on Automatic Control1998，43，10： | 1 |
| 16 | Cyclic scheduling of a hoist with time window constraints 显示文摘 | CHEN Haoxun CHU Chengbin PROTH J M | 1998 | IEEE Transactions Robotics and Automation1998，14，1： | 1 |
| 17 | A Stackelberg game and its improvement in a VMI system with a manufacturing vendor显示文摘 | Yu Yugang Chu Feng Chen Haoxun | 2009 | European Journal of Operational Research2009，192，3： | 1 |
| 18 | Modeling and Performance Evaluation of Supply Chains Using Batch Deterministic and Stochastic Petri Nets 显示文摘 | Haoxun Chen Amodeo Lionel Feng Chu Labadi Kanm | 2005 | IEEE Transactions on Automation Science & Engineering2005，2，2： | 1 |
| 19 | A solution approach to the inventory routing problem in a threelevel distribution system显示文摘 | LI Jianxiang CHU Feng CHEN Haoxun | | 0，，210： | 1 |
| 20 | A Lagrangian relaxation ap- proach for a multi-mode inventory routing problem with transship- ment in crude oil transportation显示文摘 | Qingning Shen Feng Chu Haoxun Chen | 2011 | Computers and Chemical Engineer- ing2011，，10： | 1 |
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